Ratio/Unit Rates/Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

How do you find the unit rate from a total amount?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you earn $20.40 in 3 hours, divide 20.40 by 3.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers, such as 1:2 and 2:4.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity. For example, the ratio 18:3 can be written as 18/3.

Front

What is the unit price?

Back

The unit price is the cost per single unit of measure, helping to compare prices of different sizes or quantities.

Front

How do you determine which product is a better deal based on unit price?

Back

Calculate the unit price for each product and compare them; the lower unit price indicates the better deal.

Front

Are the ratios 3:10 and 9:20 equivalent?

Back

No, they are not equivalent because 3/10 does not equal 9/20 when simplified.

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities being compared and write them in ratio form.